Solve Decimal Multiplication: Calculate 2.66 × 10

Q: Why does multiplying by 10 move the decimal point right?

Think of it this way: 10 makes everything bigger! When you multiply by 10, each digit moves up one place value (ones become tens, tenths become ones), so the decimal point appears to move right.

Q: What if there aren't enough digits after moving the decimal?

Add zeros as placeholders! For example, $ 2.3 \times 10 = 23.0 $ or simply $ 23 $. The zero shows the decimal moved correctly.

Q: How is this different from multiplying by regular numbers?

Multiplying by powers of 10 (10, 100, 1000) is special - you just move the decimal! For other numbers like $ 2.66 \times 3 $, you need to do regular multiplication.

Q: What happens when I multiply by 100 or 1000?

The pattern continues! 100 = two places right, 1000 = three places right. Count the zeros in the multiplier to know how many places to move.

Q: Can I use this trick for division too?

Yes, but opposite direction! Dividing by 10 moves the decimal point one place LEFT. So $ 26.6 ÷ 10 = 2.66 $.

Decimal Multiplication with Powers of Ten

$2.66\times10=$

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:05 Let's solve the problem together!

00:08 Look at the number of zeros. We'll move the decimal point according to that.

00:14 So, move the decimal this many places.

00:19 And that's how we find the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$2.66\times10=$

Step-by-step solution

We need to multiply the number $2.66$ by $10$ . To do this, follow these steps:

Step 1: Identify the initial decimal number: $2.66$ .
Step 2: Understand that multiplying by $10$ involves moving the decimal point one place to the right.
Step 3: Shift the decimal point of $2.66$ from its original position between $2$ and $6$ to between $6$ and $6$ , which gives us $26.6$ .

Therefore, after multiplying $2.66$ by $10$ , the result is $26.6$ .

The correct answer, based on the available choices, is: $26.6$ .

Final Answer

$26.6$

Key Points to Remember

Essential concepts to master this topic

Rule: Multiplying by 10 moves decimal point one place right
Technique: Move 2.66 decimal from 2|.66 to 26|.6
Check: Count decimal places: 2.66 has 2, result 26.6 has 1 ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point the wrong direction
Don't move the decimal point left when multiplying by 10 = 0.266! This gives a smaller number when multiplication should make it bigger. Always move the decimal point RIGHT when multiplying by powers of 10.

Practice Quiz

Test your knowledge with interactive questions

$\text{0}.07\times10=$

FAQ

Everything you need to know about this question

Why does multiplying by 10 move the decimal point right?

Think of it this way: 10 makes everything bigger! When you multiply by 10, each digit moves up one place value (ones become tens, tenths become ones), so the decimal point appears to move right.

What if there aren't enough digits after moving the decimal?

Add zeros as placeholders! For example, $2.3 \times 10 = 23.0$ or simply $23$ . The zero shows the decimal moved correctly.

How is this different from multiplying by regular numbers?

Multiplying by powers of 10 (10, 100, 1000) is special - you just move the decimal! For other numbers like $2.66 \times 3$ , you need to do regular multiplication.

What happens when I multiply by 100 or 1000?

The pattern continues! 100 = two places right, 1000 = three places right. Count the zeros in the multiplier to know how many places to move.

Can I use this trick for division too?

Yes, but opposite direction! Dividing by 10 moves the decimal point one place LEFT. So $26.6 ÷ 10 = 2.66$ .

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Decimal Fractions - Advanced questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime